Titanium reacts with iodine to form titanium(III) iodide, emitting heat. 2 Ti(s) + 3 I 2 (g) → 2 TiI 3 (s) ΔH° rxn = –839 kJ Determine the mass of titanium that react if 1.55×10 3 kJ of heat is emitted by the reaction.

Hey everyone in this example, we need to find the mass of carbon monoxide produced if the reaction absorbs 32.11 kg of heat. So that's what we're going to begin our equation with 32.11 kg joules. And we're going to recognize that according to the given equation for our reaction, We have an entropy value of 42 kg jewels. So we're going to say that for 42 kg jules, looking at the stock geometry of our carbon monoxide, we have one mole of carbon monoxide that is produced. And so now we can cancel out our units of kilo jewels. And now that we're at moles of carbon monoxide, we want to get two g of carbon monoxide. And so we're going to recall from the periodic table are molar mass for carbon monoxide, Which we see as 28.01 g of carbon monoxide for one mole of carbon monoxide. So this allows us to cancel out moles leaving us with grams of carbon monoxide, which is what we want. And so when we type this into our calculators, we get a value equal to 21.41 g of carbon monoxide that is produced from the given reaction. When it absorbs 32.11 kg joules of heat. And so this will be our final answer to complete this example. So, I hope that everything we reviewed was clear. If you have any questions, please leave them down below and I will see everyone in the next practice video

Ch.6 - Thermochemistry

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Tro 4th Edition

Ch.6 - Thermochemistry

Problem 62

Chapter 6, Problem 62

Titanium reacts with iodine to form titanium(III) iodide, emitting heat. 2 Ti(s) + 3 I₂(g) → 2 TiI₃(s) ΔH°_rxn = –839 kJ Determine the mass of titanium that react if 1.55×10³ kJ of heat is emitted by the reaction.

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Write down the balanced chemical equation for the reaction: \(2 \text{Ti}(s) + 3 \text{I}_2(g) \rightarrow 2 \text{TiI}_3(s)\).

Identify the heat of reaction (\(\Delta H_{\text{rxn}}\)) from the equation, which is -839 kJ. This indicates that 839 kJ of heat is released when 2 moles of titanium react.

Calculate the number of moles of titanium that would react to release 1.55 \times 10^3 kJ of heat. Use the proportion: \(\frac{839 \text{ kJ}}{2 \text{ moles of Ti}} = \frac{1.55 \times 10^3 \text{ kJ}}{x \text{ moles of Ti}}\).

Solve for \(x\), the moles of titanium, using the proportion set up in the previous step.

Convert the moles of titanium to mass using the molar mass of titanium (approximately 47.87 g/mol). Multiply the moles of titanium by the molar mass to find the mass in grams.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions. It involves using balanced chemical equations to determine the relationships between the amounts of substances consumed and produced. In this case, stoichiometry will help relate the heat emitted to the amount of titanium that reacts.

Enthalpy Change (ΔH)

Enthalpy change (ΔH) is a measure of the heat absorbed or released during a chemical reaction at constant pressure. A negative ΔH indicates that the reaction is exothermic, meaning it releases heat. In this question, the ΔH of -839 kJ indicates that for every 2 moles of titanium that react, 839 kJ of heat is emitted.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is essential for converting between moles and grams in stoichiometric calculations. For titanium, the molar mass is approximately 47.87 g/mol, which will be used to find the mass of titanium that corresponds to the heat emitted in the reaction.

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Titanium reacts with iodine to form titanium(III) iodide, emitting heat. 2 Ti(s) + 3 I2(g) → 2 TiI3(s) ΔH°rxn = –839 kJ Determine the mass of titanium that react if 1.55×103 kJ of heat is emitted by the reaction.

Verified video answer for a similar problem:

Key Concepts

Stoichiometry

Enthalpy Change (ΔH)

Molar Mass

Titanium reacts with iodine to form titanium(III) iodide, emitting heat. 2 Ti(s) + 3 I₂(g) → 2 TiI₃(s) ΔH°_rxn = –839 kJ Determine the mass of titanium that react if 1.55×10³ kJ of heat is emitted by the reaction.